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Finding the Third Proportional to 26,010 and 28,710

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Solution

The third proportional to 26,010 and 28,710 is: 31,690.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,010 : 28,710 = 28,710 : x
  2. Step 2: Convert to fraction form
    26,010/28,710 = 28,710/x
  3. Step 3: Cross multiply
    26,010x = 28,710 × 28,710
  4. Step 4: Simplify right side
    26,010x = 824,264,100
  5. Step 5: Solve for x
    x = 824,264,100/26,010
  6. Step 6: Final answer
    x = 31,690.28

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.